各向同性钢材的断裂模型和屈服模型
PDF下载 (482)王万祯.各向同性钢材的断裂模型和屈服模型[J].宁波大学学报(理工版),2013,26(02):68-72.DOI:
WANG Wan-zhen.Fracture-and-Yield Model of Isotropic Steels[J].Journal of Ningbo University(Natural Science & Engineering Edition),2013,26(02):68-72.DOI:
| Title: | Fracture-and-Yield Model of Isotropic Steels |
| 作者: | 王万祯 |
| Author(s): | WANG Wan-zhen |
| 关键词: | 各向同性钢材; 断裂模型; 屈服模型; 特征应力; 主应力空间; 二次函数 |
| Keywords: | isotropic steels; fracture model; yield model; characteristic stresses; principal stress space; quadratic function |
| 分类号: | O346.1; TG111.91 |
| 文献标识码: | A |
| 摘要: | 基于钢材断裂前必先屈服的基本事实, 以钢材断裂面为屈服面后继扩大直至材料完整性(连续性）发生破坏为假设, 以已有的屈服模型的共同特征为切入点, 建议了各向同性钢材在主应力空间的二次函数型断裂模型和屈服模型. 根据不同钢材的特征应力值, 量化了各向同性钢材的二次函数型断裂模型和屈服模型. 依据不同钢材的特征应力值的相互关系, 建议的各向同性钢材的二次函数型断裂模型和屈服模型相应地描述为主应力空间的圆柱面、椭球面、抛物面和双曲面. 建议的各向同性钢材的二次函数型断裂模型和屈服模型较已有的强度模型更具一般性. |
| Abstract: | Based on the fundamental fact that yield occurs prior to fracture in steel, and on the assumption that the fractured area can be accounted as the enlargement of yield surface until the integrity and the continuum of material fail, both the fracture model and yield model expressed with quadratic functions in the principal stress space are constructed for isotropic steels, in which the common features of the existing yield models are examined with great care. The proposed fracture model and yield model are quantified with characteristic stresses of steels of manifold types, which can be described using column surface, ellipsoidal surface, parabolic surface and hyperboloid in the principal stress space determined by the relations of characteristic stresses of steels. The presented models are more generalized and universalized than the existing yield models in that the latter is the special cases of the former |
| 参考文献 /References: | [1] 陈绍蕃. 钢结构设计原理[M]. 北京: 科学出版社, 1998. [2] GB 50017-2003, 钢结构设计规范[S]. [3] Hancock J W, MacKenzie A C. On the mechanisms of ductile failure in high-strength steel subjected to multi-axial stress-states[J]. Journal of the Mechanics and Physics of Solids, 1976, 24(3):147-169. [4] Bao Y. Dependence of ductile crack formation on stress triaxiality, stress and strain ratio in tensile tests[J]. Engineering Fracture Mechanics, 2005, 72(4):505-522. [5] Bao Y. Dependence of fracture ductility on thickness[J]. Thin-Walled Structures, 2004, 42(8):1211-1230. [6] Wierzbicki T, Muragishi O. Calibration of ductile fracture from compression and tension tests[R]. MIT, Cambridge, MA: Report 21 Impact & Crashworthiness Laboratory, 1999. [7] 汤安民, 师俊平, 卢智先. 几种金属材料断裂条件的实验研究[J]. 力学季刊, 2003, 24(4):517-521. [8] Chen J H, Wang G Z. Study of mechanism cleavage fractures at low temperature[J]. Metallurgical Transactions, 1992, 23A(2):509-517. [9] 王万祯. 铝合金宏观断裂准则[J]. 西安交通大学学报, 2007, 41(5):616-620. [10] 皮萨林科Γ C, 列别捷夫 A A. 复杂应力状态下的材料变形与强度[M]. 江明行, 译. 北京: 科学出版社, 1983. [11] 俞茂宏. 双剪强度理论及其应用[M]. 北京: 科学出版社, 1998. |
| 备注/Memo: | 收稿日期: 2012－12－07. 基金项目: 国家自然科学基金（50808098）; 浙江省自然科学基金（LY12E08008）; 浙江省151人才工程项目（11-3-079）. 作者简介: 王万祯（1974－）, 男, 河南淮阳人, 博士/副教授, 主要研究方向: 工程材料强度模型. E-mail: wangwanzhen1975@sina.com 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
